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Finding the Fourth Proportional to 3,502.14, 5,222.24 and 3,263.82

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Solution

The fourth proportional to 3,502.14, 5,222.24 and 3,263.82 is: 4,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.14 : 5,222.24 = 3,263.82 : x
  2. Step 2: Convert to fraction form
    3,502.14/5,222.24 = 3,263.82/x
  3. Step 3: Cross multiply
    3,502.14x = 5,222.24 × 3,263.82
  4. Step 4: Simplify right side
    3,502.14x = 17,044,451.36
  5. Step 5: Solve for x
    x = 17,044,451.36/3,502.14
  6. Step 6: Final answer
    x = 4,866.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.